Using Cauchy Riemann equations prove that the followings do not have derivatives: (Assume that x, y...

Transcribed Image Text:

Using Cauchy Riemann equations prove that the followings do not have derivatives: (Assume that x, y E R and z = x + iy, z = x - iy e C) (a) f(z) = 7; (b) f(z) = z - 7; (c) f(2) 2r + ixy?; (d) f(z) = e'e-". Using Cauchy Riemann equations prove that the followings do not have derivatives: (Assume that x, y E R and z = x + iy, z = x - iy e C) (a) f(z) = 7; (b) f(z) = z - 7; (c) f(2) 2r + ixy?; (d) f(z) = e'e-".